Open AccessCoefficient Estimates for Bi-univalent Functions Defined By (P, Q) Analogue of the Salagean Differential Operator Related to the Chebyshev Polynomials
Author(s) -
Trailokya Panigrahi,
Susanta K. Mohapatra
Publication year - 2021
Publication title -
journal of mathematical and fundamental sciences/journal of mathematical and fundamental siences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.216
H-Index - 12
eISSN - 2337-5760
pISSN - 2338-5510
DOI - 10.5614/j.math.fund.sci.2021.53.1.4
Subject(s) - chebyshev polynomials , mathematics , differential operator , operator (biology) , chebyshev filter , function (biology) , differential (mechanical device) , pure mathematics , discrete mathematics , mathematical analysis , physics , biochemistry , chemistry , repressor , evolutionary biology , biology , transcription factor , gene , thermodynamics
In the present investigation we use the Jackson (p,q)-differential operator to introduce the extended Salagean operator denoted by Rkp,q. Certain bi-univalent function classes based on operator Rkp,q related to the Chebyshev polynomials are introduced. First, two coefficient bounds and Fekete-Szego inequalities for the function classes are established. A number of corollaries are developed by varying parameters involved.